Homework Set # 3 - Due February 4

  
   
1) Problem 3.1

2) Problem 3.2

3) Problem 3.3

4) Problem 3.4

5) Consider the diamond lattice as a simple cubic lattice with a basis, i.e., the primitive vectors are the ones for the sc lattice and there are 8 basis vectors:

a) Write down the 3 primitive vectors and the 8 basis vectors.

b) Find the modulation factor of this basis.

c) Find the zeroes of the modulation factor F.